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How does the probability distribution of returns differ between a U.S. Treasury Bill and the common stock of Ace Publishing Company?

The probability distribution of returns for a U.S. Treasury Bill is a single spike at a 5 percent rate of return, indicating a 100 percent certainty of that return. In contrast, the common stock of Ace Publishing Company has a range of possible returns, from -10 percent to 40 percent, reflecting its risky nature and variability in outcomes.

The U.S. Treasury Bill represents a risk-free investment, guaranteeing a fixed return of 5 percent with no variability. This is depicted as a single point in the probability distribution. Conversely, the common stock of Ace Publishing Company has a probability distribution that includes multiple potential returns, ranging from -10 percent to 40 percent, which illustrates the inherent risk and uncertainty associated with investing in stocks. This variability in returns is characteristic of riskier investments compared to the certainty provided by Treasury Bills.

Key points

  • U.S. Treasury Bills have a guaranteed return of 5 percent with no risk.
  • The probability distribution for Treasury Bills is a single spike at 5 percent.
  • Ace Publishing Company's stock has a range of returns from -10 percent to 40 percent.
  • The stock's returns illustrate higher risk and variability compared to Treasury Bills.
Source:Financial Management: Principles and Applications· Debt Valuation and Interest Rates· p. 232–233

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Financial Management: Principles and Applications

Sheridan Titman

Thirteenth Edition · Pearson

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